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Finding the Fourth Proportional to 225,866.50, 311,752.41 and 153,392.02

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Solution

The fourth proportional to 225,866.50, 311,752.41 and 153,392.02 is: 211,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,866.50 : 311,752.41 = 153,392.02 : x
  2. Step 2: Convert to fraction form
    225,866.50/311,752.41 = 153,392.02/x
  3. Step 3: Cross multiply
    225,866.50x = 311,752.41 × 153,392.02
  4. Step 4: Simplify right side
    225,866.50x = 47,820,331,909.77
  5. Step 5: Solve for x
    x = 47,820,331,909.77/225,866.50
  6. Step 6: Final answer
    x = 211,719.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.